What is the Least Common Multiple of 17775 and 17782?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 17775 and 17782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17775 and 17782, than apply into the LCM equation.

GCF(17775,17782) = 1
LCM(17775,17782) = ( 17775 × 17782) / 1
LCM(17775,17782) = 316075050 / 1
LCM(17775,17782) = 316075050

Least Common Multiple (LCM) of 17775 and 17782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17775 and 17782. First we will calculate the prime factors of 17775 and 17782.

Prime Factorization of 17775

Prime Factorization of 17782

Now multiplying the highest exponent prime factors to calculate the LCM of 17775 and 17782.

LCM(17775,17782) = 3² × 5² × 79¹ × 2¹ × 17¹ × 523¹
LCM(17775,17782) = 316075050